The plot to the right of Fig. REF  shows constraints on
the sum of neutrino masses. As explained in PCP18, the Planck power
spectra constrain neutrino masses through the effects of lensing. The
fluctuations in the TT power spectrum that favour \(A_L>1\)  could shift
the neutrino mass constraints towards lower values. Since the 12.5HMcl
likelihood favours lower values of \(A_L\)  than reported in PCP18, it is
interesting to investigate the constraints on neutrino masses derived
from the 12.5HMcl likelihood. In fact, we find almost no difference in
the 95% upper limits, with \(\sum m_\nu < 0.36\ {\rm eV}\)  from the
12.1HM TTTEEE likelihood and \(\sum m_\nu < 0.34 \ {\rm eV}\)  for the
12.5HMcl TTTEEE likelihood. The addition of BAO and Planck lensing
to the 12.5HMcln TTTEEE likelihood lowers this limit to \(\sum m_\nu < 0.13 \ {\rm eV}\) ,
almost identical to the constraint reported in PCP18.
It has been argued [1]} that massive neutrinos with \(\sum m_\nu \) 
in the range \(0.2 - 0.4 \ {\rm eV}\)  may explain the tension between low redshift
measurements of the amplitude of the mass fluctuations (including the
weak galaxy lensing measurements summarized in Sect. REF )
and the base \(\rm {\Lambda CDM}\)  results from Planck. However, Fig. REF 
shows that this solution is quite strongly disfavoured by the Planck and BAO data.
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